×
Author ID: svaiter.benar-fux Recent zbMATH articles by "Svaiter, Benar Fux"
Published as: Svaiter, B. F.; Svaiter, Benar F.; Svaiter, Benar Fux; Svatier, Benar Fux; Svaiter, Benav F.; Svaiter, B. Fux; Svaiter, Benar
External Links: MGP · ORCID
all top 5

Serials

17 Journal of Convex Analysis
13 SIAM Journal on Optimization
10 Journal of Optimization Theory and Applications
9 Mathematical Programming. Series A. Series B
8 Optimization
8 Computational Optimization and Applications
7 SIAM Journal on Control and Optimization
6 Set-Valued Analysis
4 Proceedings of the American Mathematical Society
3 Journal of Mathematical Physics
3 Journal of Mathematical Economics
3 Mathematics of Operations Research
3 Numerical Functional Analysis and Optimization
3 Operations Research Letters
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 IMA Journal of Numerical Analysis
2 Inverse Problems
2 Journal of Computational and Applied Mathematics
2 Journal of Functional Analysis
2 Journal of Complexity
2 Optimization Methods & Software
2 Set-Valued and Variational Analysis
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Applied Mathematics and Optimization
1 Quarterly of Applied Mathematics
1 RAIRO. Recherche Opérationnelle
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Algorithms
1 Journal of Physics A: Mathematical and General
1 Computational and Applied Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Mathematical Methods of Operations Research
1 RAIRO. Operations Research
1 Journal of Nonlinear and Convex Analysis
1 International Journal of Modern Physics C
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Pacific Journal of Optimization
1 Mathematical Programming Computation
1 Publicações Matemáticas do IMPA

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 4,223 times in 2,540 Documents Cited by Year
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods. Zbl 1260.49048
Attouch, Hedy; Bolte, Jérôme; Svaiter, Benar Fux
429
2013
A new projection method for variational inequality problems. Zbl 0959.49007
Solodov, M. V.; Svaiter, B. F.
335
1999
Forcing strong convergence of proximal point iterations in a Hilbert space. Zbl 0971.90062
Solodov, M. V.; Svaiter, B. F.
195
2000
A variant of Korpelevich’s method for variational inequalities with a new search strategy. Zbl 0891.90135
Iusem, A. N.; Svaiter, B. F.
177
1997
Steepest descent methods for multicriteria optimization. Zbl 1054.90067
Fliege, Jörg; Svaiter, Benar Fux
175
2000
Newton’s method for multiobjective optimization. Zbl 1195.90078
Fliege, J.; Drummond, L. M. Graña; Svaiter, B. F.
137
2009
A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator. Zbl 0959.90038
Solodov, M. V.; Svaiter, B. F.
130
1999
Proximal methods in vector optimization. Zbl 1093.90054
Bonnel, Henri; Iusem, Alfredo Noel; Svaiter, Benar Fux
109
2005
A globally convergent inexact Newton method for systems of monotone equations. Zbl 0928.65059
Solodov, Michael V.; Svaiter, Benav F.
106
1999
A hybrid projection-proximal point algorithm. Zbl 0961.90128
Solodov, M. V.; Svaiter, B. F.
103
1999
An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions. Zbl 0980.90097
Solodov, M. V.; Svaiter, B. F.
103
2000
A steepest descent method for vector optimization. Zbl 1058.90060
Graña Drummond, L. M.; Svaiter, B. F.
97
2005
Iteration-complexity of block-decomposition algorithms and the alternating direction method of multipliers. Zbl 1267.90181
Monteiro, Renato D. C.; Svaiter, Benar F.
95
2013
Enlargement of monotone operators with applications to variational inequalities. Zbl 0882.90105
Burachik, Regina S.; Iusem, Alfredo N.; Svaiter, B. F.
93
1997
A unified framework for some inexact proximal point algorithms. Zbl 1052.49013
Solodov, M. V.; Svaiter, B. F.
81
2001
On weak convergence of the Douglas-Rachford method. Zbl 1220.47064
Svaiter, B. F.
80
2011
On the complexity of the hybrid proximal extragradient method for the iterates and the ergodic mean. Zbl 1230.90200
Monteiro, Renato D. C.; Svaiter, B. F.
73
2010
Kantorovich’s theorem on Newton’s method in Riemannian manifolds. Zbl 1003.65057
Ferreira, O. P.; Svaiter, B. F.
71
2002
Entropy-like proximal methods in convex programming. Zbl 0821.90092
Iusem, Alfredo N.; Svaiter, B. F.; Teboulle, Marc
64
1994
A family of projective splitting methods for the sum of two maximal monotone operators. Zbl 1134.47048
Eckstein, Jonathan; Svaiter, B. F.
63
2008
Full convergence of the steepest descent method with inexact line searches. Zbl 0821.90089
Burachik, R.; Graña Drummond, L. M.; Iusem, A. N.; Svaiter, B. F.
60
1995
A new sequential optimality condition for constrained optimization and algorithmic consequences. Zbl 1217.90148
Andreani, Roberto; Martínez, J. M.; Svaiter, B. F.
56
2010
Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces. Zbl 1339.47080
Abbas, B.; Attouch, H.; Svaiter, Benar F.
55
2014
Maximal monotone operators, convex functions and a special family of enlargements. Zbl 1033.47036
Burachik, Regina Sandra; Svaiter, B. F.
54
2002
Relaxed steepest descent and Cauchy-Barzilai-Borwein method. Zbl 0988.90049
Raydan, Marcos; Svaiter, Benar F.
53
2002
A continuous dynamical Newton-like approach to solving monotone inclusions. Zbl 1229.34097
Attouch, H.; Svaiter, B. F.
53
2011
Complexity of variants of Tseng’s modified F-B splitting and Korpelevich’s methods for hemivariational inequalities with applications to saddle-point and convex optimization problems. Zbl 1245.90155
Monteiro, Renato D. C.; Svaiter, B. F.
52
2011
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
51
2005
An accelerated hybrid proximal extragradient method for convex optimization and its implications to second-order methods. Zbl 1298.90071
Monteiro, Renato D. C.; Svaiter, B. F.
49
2013
On the variation of maximal operators of convolution type. Zbl 1317.42017
Carneiro, Emanuel; Svaiter, Benar F.
48
2013
Inexact variants of the proximal point algorithm without monotonicity. Zbl 1053.90134
Iusem, A. N.; Pennanen, T.; Svaiter, B. F.
47
2003
General projective splitting methods for sums of maximal monotone operators. Zbl 1194.49038
Eckstein, Jonathan; Svaiter, B. F.
47
2009
\(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces. Zbl 0948.47050
Burachik, Regina Sandra; Svaiter, B. F.
43
1999
Error bounds for proximal point subproblems and associated inexact proximal point algorithms. Zbl 0963.90064
Solodov, M. V.; Svaiter, B. F.
43
2000
Kantorovich’s majorants principle for Newton’s method. Zbl 1191.90095
Ferreira, O. P.; Svaiter, B. F.
38
2009
A practical optimality condition without constraint qualifications for nonlinear programming. Zbl 1033.90090
Martínez, J. M.; Svaiter, B. F.
38
2003
Maximal monotonicity, conjugation and the duality product. Zbl 1019.47038
Burachik, Regina Sandra; Svaiter, B. F.
38
2003
On the choice of parameters for the weighting method in vector optimization. Zbl 1163.90021
Graña Drummond, L. M.; Maculan, N.; Svaiter, B. F.
31
2008
An outer approximation method for the variational inequality problem. Zbl 1076.49003
Burachik, R. S.; Lopes, J. O.; Svaiter, B. F.
29
2005
A quadratically convergent Newton method for vector optimization. Zbl 1302.90196
Drummond, L. M. Graña; Raupp, F. M. P.; Svaiter, B. F.
25
2014
A family of enlargements of maximal monotone operators. Zbl 0977.47042
Svaiter, B. F.
23
2000
\(\varepsilon\)-enlargements of maximal monotone operators: Theory and applications. Zbl 0928.65068
Burachik, Regina S.; Sagastizábal, Claudia A.; Svaiter, B. F.
23
1999
A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity \(\mathcal{O}(1/n^2)\). Zbl 1348.47053
Attouch, Hedy; Marques Alves, Maicon; Svaiter, Benar Fux
20
2016
Central paths, generalized proximal point methods, and Cauchy trajectories in Riemannian manifolds. Zbl 0918.90113
Iusem, Alfredo N.; Svaiter, B. F.; da Cruz Neto, João Xavier
19
1999
Iteration-complexity of a Newton proximal extragradient method for monotone variational inequalities and inclusion problems. Zbl 1270.90110
Monteiro, Renato D. C.; Svaiter, Benar F.
19
2012
A truly globally convergent Newton-type method for the monotone nonlinear complementarity problem. Zbl 0955.90133
Solodov, M. V.; Svaiter, B. F.
17
2000
A relative error tolerance for a family of generalized proximal point methods. Zbl 1082.65539
Burachik, Regina Sandra; Svaiter, B. F.
17
2001
An adaptive accelerated first-order method for convex optimization. Zbl 1344.90049
Monteiro, Renato D. C.; Ortiz, Camilo; Svaiter, Benar F.
15
2016
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations. Zbl 1344.65052
Leitão, A.; Svaiter, B. F.
15
2016
Casimir effect in a D-dimensional flat space-time and the cut-off method. Zbl 0728.53060
Svaiter, N. F.; Svaiter, B. F.
14
1991
On Gossez type (D) maximal monotone operators. Zbl 1208.47041
Alves, M. Marques; Svaiter, B. F.
14
2010
Fixed points in the family of convex representations of a maximal monotone operator. Zbl 1053.47046
Svaiter, B. F.
14
2003
Gradient descent and fast artificial time integration. Zbl 1169.65329
Ascher, Uri M.; van den Doel, Kees; Huang, Hui; Svaiter, Benar F.
13
2009
Global convergence of a closed-loop regularized Newton method for solving monotone inclusions in Hilbert spaces. Zbl 1290.90061
Attouch, H.; Redont, P.; Svaiter, B. F.
13
2013
Implementation of a block-decomposition algorithm for solving large-scale conic semidefinite programming problems. Zbl 1312.90052
Monteiro, Renato D. C.; Ortiz, Camilo; Svaiter, Benar F.
13
2014
Robustness of the hybrid extragradient proximal-point algorithm. Zbl 1054.90088
Burachik, R. S.; Scheimberg, S.; Svaiter, B. F.
12
2001
Brøndsted–Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces. Zbl 1161.47034
Alves, Maicon Marques; Svaiter, Benar Fux
12
2008
A first-order block-decomposition method for solving two-easy-block structured semidefinite programs. Zbl 1342.49045
Monteiro, Renato D. C.; Ortiz, Camilo; Svaiter, Benar F.
12
2014
A class of Fejér convergent algorithms, approximate resolvents and the hybrid proximal-extragradient method. Zbl 1311.90178
Svaiter, Benar F.
12
2014
Minimal convex functions bounded below by the duality product. Zbl 1133.47040
Martínez-Legaz, J.-E.; Svaiter, B. F.
11
2008
Group-theoretic approach for symbolic tensor manipulation. Zbl 1086.65515
Manssur, L. R. U.; Portugal, R.; Svaiter, B. F.
11
2002
On well definedness of the central path. Zbl 0941.90061
Graña Drummond, L. M.; Svaiter, B. F.
10
1999
Regularized HPE-type methods for solving monotone inclusions with improved pointwise iteration-complexity bounds. Zbl 06662675
Alves, M. Marques; Monteiro, R. D. C.; Svaiter, B. F.
10
2016
Algebraic rules for computing the regularization parameter of the Levenberg-Marquardt method. Zbl 1383.90038
Karas, Elizabeth W.; Santos, Sandra A.; Svaiter, Benar F.
10
2016
Order preserving and order reversing operators on the class of convex functions in Banach spaces. Zbl 1314.46085
Iusem, Alfredo N.; Reem, Daniel; Svaiter, Benar F.
10
2015
The stress tensor conformal anomaly and analytic regularizations. Zbl 0804.58063
Svaiter, B. F.; Svaiter, N. F.
9
1994
A new proof for maximal monotonicity of subdifferential operators. Zbl 1140.47039
Alves, Maicon Marques; Svaiter, Benar Fux
9
2008
A strongly convergent hybrid proximal method in Banach spaces. Zbl 1044.90089
Gárciga Otero, Rolando; Svaiter, B. F.
8
2004
A robust Kantorovich’s theorem on the inexact Newton method with relative residual error tolerance. Zbl 1245.65060
Ferreira, O. P.; Svaiter, B. F.
8
2012
Algebraic rules for quadratic regularization of Newton’s method. Zbl 1309.90102
Karas, Elizabeth W.; Santos, Sandra A.; Svaiter, Benar F.
8
2015
Operating enlargements of monotone operators: new connections with convex functions. Zbl 1111.47043
Burachik, Regina Sandra; Svatier, Benar Fux
8
2006
Bundle methods for maximal monotone operators. Zbl 0944.65078
Burachik, Regina S.; Sagastizábal, Claudia; Svaiter, B. F.
7
1999
The cost of computing integers. Zbl 0851.11054
de Melo, W.; Svaiter, B. F.
7
1996
Maximal monotone operators with a unique extension to the bidual. Zbl 1189.47049
Alves, M. Marques; Svaiter, B. F.
7
2009
On the need for hybrid steps in hybrid proximal point methods. Zbl 1061.47057
Gárciga, O. Rolando; Iusem, Alfredo; Svaiter, B. F.
7
2001
Addressing the greediness phenomenon in nonlinear programming by means of proximal augmented Lagrangians. Zbl 1190.90205
Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M.; Svaiter, B. F.
7
2010
On the behaviour of constrained optimization methods when Lagrange multipliers do not exist. Zbl 1282.90170
Andreani, R.; Martínez, J. M.; Santos, L. T.; Svaiter, B. F.
7
2014
Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method. Zbl 1464.65052
Boiger, R.; Leitão, A.; Svaiter, B. F.
7
2020
On the surjectivity properties of perturbations of maximal monotone operators in non-reflexive Banach spaces. Zbl 1213.47058
Alves, Maicon Marques; Svaiter, Benar Fux
6
2011
Optimal auction with a general distribution: virtual valuation without densities. Zbl 1197.91109
Monteiro, Paulo Klinger; Svaiter, Benar Fux
6
2010
On diagonal subdifferential operators in nonreflexive Banach spaces. Zbl 1242.90288
Iusem, A. N.; Svaiter, Benar Fux
6
2012
Riemann zeta zeros and prime number spectra in quantum field theory. Zbl 1277.11087
Menezes, G.; Svaiter, B. F.; Svaiter, N. F.
6
2013
Non-enlargeable operators and self-cancelling operators. Zbl 1185.47054
Svaiter, B. F.
5
2010
A weakly convergent fully inexact Douglas-Rachford method with relative error tolerance. Zbl 07194596
Svaiter, Benar Fux
5
2019
Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method. Zbl 1507.65094
Leitão, A.; Margotti, F.; Svaiter, B. F.
5
2021
A comparison of rates of convergence of two inexact proximal point algorithms. Zbl 0986.90081
Solodov, Michael V.; Svaiter, Benar F.
4
2000
A proximal regularization of the steepest descent method. Zbl 0835.90066
Iusem, A. N.; Svaiter, B. F.
4
1995
The multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuous. Zbl 1525.90389
Svaiter, Benar F.
4
2018
A note on Fejér-monotone sequences in product spaces and its applications to the dual convergence of augmented Lagrangian methods. Zbl 1332.90191
Alves, M. Marques; Svaiter, B. F.
4
2016
A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. Zbl 1020.49016
Solodov, M. V.; Svaiter, B. F.
4
2002
A hybrid proximal extragradient self-concordant primal barrier method for monotone variational inequalities. Zbl 1326.90088
Monteiro, Renato D. C.; Sicre, Mauricio R.; Svaiter, B. F.
4
2015
A new old class of maximal monotone operators. Zbl 1185.47051
Marques Alves, M.; Svaiter, B. F.
4
2009
The distributional zeta-function in disordered field theory. Zbl 1347.82016
Svaiter, B. F.; Svaiter, N. F.
4
2016
A new duality theory for mathematical programming. Zbl 1242.49074
Svaiter, B. F.
4
2011
A \(\mathcal O(1/k^{3/2})\) hybrid proximal extragradient primal-dual interior point method for nonlinear monotone mixed complementarity problems. Zbl 1433.90189
Sicre, Mauricio R.; Svaiter, Benar F.
4
2018
A row-action method for convex programming. Zbl 0823.90099
Iusem, Alfredo N.; Svaiter, B. F.
3
1994
Multiplicative interior gradient methods for minimization over the nonnegative orthant. Zbl 0841.49012
Iusem, Alfredo N.; Svaiter, B. F.; Teboulle, Marc
3
1996
Descent methods with linesearch in the presence of perturbations. Zbl 0877.65039
Solodov, M. V.; Svaiter, B. F.
3
1997
On the central path for nonlinear semidefinite programming. Zbl 0971.90088
Graña Drummond, L. M.; Iusem, Alfredo Noel; Svaiter, B. F.
3
2000
A further study on asymptotic functions via variational analysis. Zbl 1418.90196
Lara, Felipe; López, Rubén; Svaiter, Benar F.
3
2019
Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method. Zbl 1507.65094
Leitão, A.; Margotti, F.; Svaiter, B. F.
5
2021
Inexact cuts in stochastic dual dynamic programming applied to multistage stochastic nondifferentiable problems. Zbl 1477.90048
Guigues, Vincent; Monteiro, Renato; Svaiter, Benar
1
2021
Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method. Zbl 1464.65052
Boiger, R.; Leitão, A.; Svaiter, B. F.
7
2020
A weakly convergent fully inexact Douglas-Rachford method with relative error tolerance. Zbl 07194596
Svaiter, Benar Fux
5
2019
A further study on asymptotic functions via variational analysis. Zbl 1418.90196
Lara, Felipe; López, Rubén; Svaiter, Benar F.
3
2019
A simplified proof of weak convergence in Douglas-Rachford method. Zbl 1481.47095
Svaiter, Benar F.
1
2019
Iteration-complexity of a Rockafellar’s proximal method of multipliers for convex programming based on second-order approximations. Zbl 1419.90086
Marques Alves, M.; Monteiro, R. D. C.; Svaiter, Benar F.
1
2019
Diffusion methods for classification with pairwise relationships. Zbl 1419.05201
Felzenszwalb, Pedro F.; Svaiter, Benar F.
1
2019
The multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuous. Zbl 1525.90389
Svaiter, Benar F.
4
2018
A \(\mathcal O(1/k^{3/2})\) hybrid proximal extragradient primal-dual interior point method for nonlinear monotone mixed complementarity problems. Zbl 1433.90189
Sicre, Mauricio R.; Svaiter, Benar F.
4
2018
On a family of gradient-type projection methods for nonlinear ill-posed problems. Zbl 1454.65037
Leitão, Antonio; Svaiter, Benar F.
2
2018
A proximal-Newton method for unconstrained convex optimization in Hilbert spaces. Zbl 1398.90120
Marques Alves, M.; Svaiter, Benar F.
1
2018
A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity \(\mathcal{O}(1/n^2)\). Zbl 1348.47053
Attouch, Hedy; Marques Alves, Maicon; Svaiter, Benar Fux
20
2016
An adaptive accelerated first-order method for convex optimization. Zbl 1344.90049
Monteiro, Renato D. C.; Ortiz, Camilo; Svaiter, Benar F.
15
2016
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations. Zbl 1344.65052
Leitão, A.; Svaiter, B. F.
15
2016
Regularized HPE-type methods for solving monotone inclusions with improved pointwise iteration-complexity bounds. Zbl 06662675
Alves, M. Marques; Monteiro, R. D. C.; Svaiter, B. F.
10
2016
Algebraic rules for computing the regularization parameter of the Levenberg-Marquardt method. Zbl 1383.90038
Karas, Elizabeth W.; Santos, Sandra A.; Svaiter, Benar F.
10
2016
A note on Fejér-monotone sequences in product spaces and its applications to the dual convergence of augmented Lagrangian methods. Zbl 1332.90191
Alves, M. Marques; Svaiter, B. F.
4
2016
The distributional zeta-function in disordered field theory. Zbl 1347.82016
Svaiter, B. F.; Svaiter, N. F.
4
2016
Order preserving and order reversing operators on the class of convex functions in Banach spaces. Zbl 1314.46085
Iusem, Alfredo N.; Reem, Daniel; Svaiter, Benar F.
10
2015
Algebraic rules for quadratic regularization of Newton’s method. Zbl 1309.90102
Karas, Elizabeth W.; Santos, Sandra A.; Svaiter, Benar F.
8
2015
A hybrid proximal extragradient self-concordant primal barrier method for monotone variational inequalities. Zbl 1326.90088
Monteiro, Renato D. C.; Sicre, Mauricio R.; Svaiter, B. F.
4
2015
Interior hybrid proximal extragradient methods for the linear monotone complementarity problem. Zbl 1337.90070
Sicre, Mauricio R.; Svaiter, Benar F.
2
2015
Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces. Zbl 1339.47080
Abbas, B.; Attouch, H.; Svaiter, Benar F.
55
2014
A quadratically convergent Newton method for vector optimization. Zbl 1302.90196
Drummond, L. M. Graña; Raupp, F. M. P.; Svaiter, B. F.
25
2014
Implementation of a block-decomposition algorithm for solving large-scale conic semidefinite programming problems. Zbl 1312.90052
Monteiro, Renato D. C.; Ortiz, Camilo; Svaiter, Benar F.
13
2014
A first-order block-decomposition method for solving two-easy-block structured semidefinite programs. Zbl 1342.49045
Monteiro, Renato D. C.; Ortiz, Camilo; Svaiter, Benar F.
12
2014
A class of Fejér convergent algorithms, approximate resolvents and the hybrid proximal-extragradient method. Zbl 1311.90178
Svaiter, Benar F.
12
2014
On the behaviour of constrained optimization methods when Lagrange multipliers do not exist. Zbl 1282.90170
Andreani, R.; Martínez, J. M.; Santos, L. T.; Svaiter, B. F.
7
2014
Splitting methods for finding zeroes of sums of maximal monotone operators in Banach spaces. Zbl 1291.47055
Iusem, Alfredo N.; Svaiter, Benar F.
3
2014
On the monotone polar and representable closures of monotone operators. Zbl 1305.47035
Bueno, Orestes; Martínez-Legaz, Juan Enrique; Svaiter, Benar F.
2
2014
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods. Zbl 1260.49048
Attouch, Hedy; Bolte, Jérôme; Svaiter, Benar Fux
429
2013
Iteration-complexity of block-decomposition algorithms and the alternating direction method of multipliers. Zbl 1267.90181
Monteiro, Renato D. C.; Svaiter, Benar F.
95
2013
An accelerated hybrid proximal extragradient method for convex optimization and its implications to second-order methods. Zbl 1298.90071
Monteiro, Renato D. C.; Svaiter, B. F.
49
2013
On the variation of maximal operators of convolution type. Zbl 1317.42017
Carneiro, Emanuel; Svaiter, Benar F.
48
2013
Global convergence of a closed-loop regularized Newton method for solving monotone inclusions in Hilbert spaces. Zbl 1290.90061
Attouch, H.; Redont, P.; Svaiter, B. F.
13
2013
Riemann zeta zeros and prime number spectra in quantum field theory. Zbl 1277.11087
Menezes, G.; Svaiter, B. F.; Svaiter, N. F.
6
2013
A non-type (D) operator in \(c_0\). Zbl 1286.47035
Bueno, Orestes; Svaiter, B. F.
3
2013
Iteration-complexity of a Newton proximal extragradient method for monotone variational inequalities and inclusion problems. Zbl 1270.90110
Monteiro, Renato D. C.; Svaiter, Benar F.
19
2012
A robust Kantorovich’s theorem on the inexact Newton method with relative residual error tolerance. Zbl 1245.65060
Ferreira, O. P.; Svaiter, B. F.
8
2012
On diagonal subdifferential operators in nonreflexive Banach spaces. Zbl 1242.90288
Iusem, A. N.; Svaiter, Benar Fux
6
2012
A new qualification condition for the maximality of the sum of maximal monotone operators in general Banach spaces. Zbl 1256.47033
Alves, Maicon Marques; Svaiter, Benar Fux
3
2012
A maximal monotone operator of type (D) for which maximal monotone extension to the bidual is not of type (D). Zbl 1252.47042
Bueno, Orestes; Svaiter, Benar Fux
2
2012
A Markovian growth dynamics on rooted binary trees evolving according to the Gompertz curve. Zbl 1465.92011
Landim, C.; Portugal, R. D.; Svaiter, B. F.
1
2012
On weak convergence of the Douglas-Rachford method. Zbl 1220.47064
Svaiter, B. F.
80
2011
A continuous dynamical Newton-like approach to solving monotone inclusions. Zbl 1229.34097
Attouch, H.; Svaiter, B. F.
53
2011
Complexity of variants of Tseng’s modified F-B splitting and Korpelevich’s methods for hemivariational inequalities with applications to saddle-point and convex optimization problems. Zbl 1245.90155
Monteiro, Renato D. C.; Svaiter, B. F.
52
2011
On the surjectivity properties of perturbations of maximal monotone operators in non-reflexive Banach spaces. Zbl 1213.47058
Alves, Maicon Marques; Svaiter, Benar Fux
6
2011
A new duality theory for mathematical programming. Zbl 1242.49074
Svaiter, B. F.
4
2011
Moreau-Yosida regularization of maximal monotone operators of type (D). Zbl 1251.47047
Marques Alves, Maicon; Svaiter, Benar Fux
3
2011
Fixed points of generalized conjugations. Zbl 1216.49009
Alves, Maicon Marques; Svaiter, Benar Fux
2
2011
On the complexity of the hybrid proximal extragradient method for the iterates and the ergodic mean. Zbl 1230.90200
Monteiro, Renato D. C.; Svaiter, B. F.
73
2010
A new sequential optimality condition for constrained optimization and algorithmic consequences. Zbl 1217.90148
Andreani, Roberto; Martínez, J. M.; Svaiter, B. F.
56
2010
On Gossez type (D) maximal monotone operators. Zbl 1208.47041
Alves, M. Marques; Svaiter, B. F.
14
2010
Addressing the greediness phenomenon in nonlinear programming by means of proximal augmented Lagrangians. Zbl 1190.90205
Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M.; Svaiter, B. F.
7
2010
Optimal auction with a general distribution: virtual valuation without densities. Zbl 1197.91109
Monteiro, Paulo Klinger; Svaiter, Benar Fux
6
2010
Non-enlargeable operators and self-cancelling operators. Zbl 1185.47054
Svaiter, B. F.
5
2010
Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces. Zbl 1192.47046
Alves, M. Marques; Svaiter, B. F.
3
2010
Newton’s method for multiobjective optimization. Zbl 1195.90078
Fliege, J.; Drummond, L. M. Graña; Svaiter, B. F.
137
2009
General projective splitting methods for sums of maximal monotone operators. Zbl 1194.49038
Eckstein, Jonathan; Svaiter, B. F.
47
2009
Kantorovich’s majorants principle for Newton’s method. Zbl 1191.90095
Ferreira, O. P.; Svaiter, B. F.
38
2009
Gradient descent and fast artificial time integration. Zbl 1169.65329
Ascher, Uri M.; van den Doel, Kees; Huang, Hui; Svaiter, Benar F.
13
2009
Maximal monotone operators with a unique extension to the bidual. Zbl 1189.47049
Alves, M. Marques; Svaiter, B. F.
7
2009
A new old class of maximal monotone operators. Zbl 1185.47051
Marques Alves, M.; Svaiter, B. F.
4
2009
A family of projective splitting methods for the sum of two maximal monotone operators. Zbl 1134.47048
Eckstein, Jonathan; Svaiter, B. F.
63
2008
On the choice of parameters for the weighting method in vector optimization. Zbl 1163.90021
Graña Drummond, L. M.; Maculan, N.; Svaiter, B. F.
31
2008
Brøndsted–Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces. Zbl 1161.47034
Alves, Maicon Marques; Svaiter, Benar Fux
12
2008
Minimal convex functions bounded below by the duality product. Zbl 1133.47040
Martínez-Legaz, J.-E.; Svaiter, B. F.
11
2008
A new proof for maximal monotonicity of subdifferential operators. Zbl 1140.47039
Alves, Maicon Marques; Svaiter, Benar Fux
9
2008
New condition characterizing the solutions of variational inequality problems. Zbl 1143.49017
Gárciga Otero, R.; Svaiter, B. F.
2
2008
Operating enlargements of monotone operators: new connections with convex functions. Zbl 1111.47043
Burachik, Regina Sandra; Svatier, Benar Fux
8
2006
Proximal methods in vector optimization. Zbl 1093.90054
Bonnel, Henri; Iusem, Alfredo Noel; Svaiter, Benar Fux
109
2005
A steepest descent method for vector optimization. Zbl 1058.90060
Graña Drummond, L. M.; Svaiter, B. F.
97
2005
Monotone operators representable by l.s.c. convex functions. Zbl 1083.47036
Martínez-Legaz, J.-E.; Svaiter, B. F.
51
2005
An outer approximation method for the variational inequality problem. Zbl 1076.49003
Burachik, R. S.; Lopes, J. O.; Svaiter, B. F.
29
2005
A strongly convergent hybrid proximal method in Banach spaces. Zbl 1044.90089
Gárciga Otero, Rolando; Svaiter, B. F.
8
2004
Some inexact hybrid proximal augmented Lagrangian algorithms. Zbl 1047.90043
Humes, Carlos jun.; Silva, Paulo J. S.; Svaiter, Benar F.
2
2004
Inexact variants of the proximal point algorithm without monotonicity. Zbl 1053.90134
Iusem, A. N.; Pennanen, T.; Svaiter, B. F.
47
2003
A practical optimality condition without constraint qualifications for nonlinear programming. Zbl 1033.90090
Martínez, J. M.; Svaiter, B. F.
38
2003
Maximal monotonicity, conjugation and the duality product. Zbl 1019.47038
Burachik, Regina Sandra; Svaiter, B. F.
38
2003
Fixed points in the family of convex representations of a maximal monotone operator. Zbl 1053.47046
Svaiter, B. F.
14
2003
Solving monotone inclusions with linear multi-step methods. Zbl 1033.65051
Pennanen, Teemu; Svaiter, B. F.
3
2003
On first order optimality conditions for vector optimization. Zbl 1044.90050
Graña Drummond, L. M.; Iusem, A. N.; Svaiter, B. F.
2
2003
Kantorovich’s theorem on Newton’s method in Riemannian manifolds. Zbl 1003.65057
Ferreira, O. P.; Svaiter, B. F.
71
2002
Maximal monotone operators, convex functions and a special family of enlargements. Zbl 1033.47036
Burachik, Regina Sandra; Svaiter, B. F.
54
2002
Relaxed steepest descent and Cauchy-Barzilai-Borwein method. Zbl 0988.90049
Raydan, Marcos; Svaiter, Benar F.
53
2002
Group-theoretic approach for symbolic tensor manipulation. Zbl 1086.65515
Manssur, L. R. U.; Portugal, R.; Svaiter, B. F.
11
2002
A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. Zbl 1020.49016
Solodov, M. V.; Svaiter, B. F.
4
2002
A unified framework for some inexact proximal point algorithms. Zbl 1052.49013
Solodov, M. V.; Svaiter, B. F.
81
2001
A relative error tolerance for a family of generalized proximal point methods. Zbl 1082.65539
Burachik, Regina Sandra; Svaiter, B. F.
17
2001
Robustness of the hybrid extragradient proximal-point algorithm. Zbl 1054.90088
Burachik, R. S.; Scheimberg, S.; Svaiter, B. F.
12
2001
On the need for hybrid steps in hybrid proximal point methods. Zbl 1061.47057
Gárciga, O. Rolando; Iusem, Alfredo; Svaiter, B. F.
7
2001
Forcing strong convergence of proximal point iterations in a Hilbert space. Zbl 0971.90062
Solodov, M. V.; Svaiter, B. F.
195
2000
Steepest descent methods for multicriteria optimization. Zbl 1054.90067
Fliege, Jörg; Svaiter, Benar Fux
175
2000
An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions. Zbl 0980.90097
Solodov, M. V.; Svaiter, B. F.
103
2000
Error bounds for proximal point subproblems and associated inexact proximal point algorithms. Zbl 0963.90064
Solodov, M. V.; Svaiter, B. F.
43
2000
A family of enlargements of maximal monotone operators. Zbl 0977.47042
Svaiter, B. F.
23
2000
A truly globally convergent Newton-type method for the monotone nonlinear complementarity problem. Zbl 0955.90133
Solodov, M. V.; Svaiter, B. F.
17
2000
A comparison of rates of convergence of two inexact proximal point algorithms. Zbl 0986.90081
Solodov, Michael V.; Svaiter, Benar F.
4
2000
On the central path for nonlinear semidefinite programming. Zbl 0971.90088
Graña Drummond, L. M.; Iusem, Alfredo Noel; Svaiter, B. F.
3
2000
...and 24 more Documents
all top 5

Cited by 2,629 Authors

46 Svaiter, Benar Fux
46 Yao, Jen-Chih
45 Boţ, Radu Ioan
42 Shehu, Yekini
40 Ferreira, Orizon Pereira
38 Kumam, Poom
37 Dương Việt Thông
35 Iusem, Alfredo Noel
34 Csetnek, Ernö Robert
32 Attouch, Hedy
32 Oliveira, Paulo Roberto
29 Dong, Qiaoli
28 da Cruz Neto, João Xavier
27 Martínez, José Mario
27 Noor, Muhammad Aslam
26 Han, Deren
25 Bala Abubakar, Auwal
25 Ceng, Lu-Chuan
25 Jolaoso, Lateef Olakunle O.
24 Bnouhachem, Abdellah
24 Monteiro, Renato D. C.
23 Bauschke, Heinz H.
23 Cho, Yeol Je
23 Liu, Feng
23 Takahashi, Wataru
21 Argyros, Ioannis Konstantinos
21 Dang Van Hieu
21 Haeser, Gabriel
20 Gonçalves, Max L. N.
19 Bello Cruz, Jose Yunier
19 Pong, Ting Kei
19 Yuan, Xiaoming
18 Reich, Simeon
18 Soubeyran, Antoine
18 Wang, Shawn Xianfu
18 Yao, Yonghong
17 Andreani, Roberto
17 László, Csaba Szilárd
17 Li, Min
16 Bento, Glaydston C.
16 Ibrahim, Abdulkarim Hassan
16 Melo, Jefferson G.
15 Alves, M. Marques
15 Burachik, Regina Sandra
15 Cholamjiak, Prasit
15 Eckstein, Jonathan
15 Fukuda, Ellen Hidemi
15 Huang, Nan-Jing
15 Iyiola, Olaniyi Samuel
15 Jian, Jinbao
15 Vuong, Phan Tu
15 Wang, Jinhua
14 Birgin, Ernesto G.
14 Liou, Yeongcheng
14 Prudente, Leandro F.
14 Santos, Sandra Augusta
14 Tam, Matthew K.
14 Wu, Chunlin
13 Li, Chong
13 Svaiter, Nami F.
13 Trương Minh Tuyên
13 Waziri, Mohammed Yusuf
12 Cai, Xingju
12 Gibali, Aviv
12 Lan, Guanghui
12 Patrinos, Panagiotis
12 Sabach, Shoham
12 Silva, Paulo J. S.
12 Teboulle, Marc
12 Toh, Kim Chuan
12 Wu, Zhongming
12 Xiu, Naihua
12 Zhang, Shuzhong
11 Awwal, Aliyu Muhammed
11 Borwein, Jonathan Michael
11 Graña Drummond, L. M.
11 Pakkaranang, Nuttapol
11 Solodov, Mikhail V.
11 Tang, Guoji
11 Wang, Yiju
10 Adly, Samir
10 Ansari, Qamrul Hasan
10 Censor, Yair
10 Dao, Minh Ngoc
10 Fadili, Jalal M.
10 Li, Guoyin
10 Li, Xiaohuan
10 Pham Ky Anh
10 Pham Ngoc Anh
10 Wen, Chingfeng
10 Yao, Liangjin
10 Yin, Wotao
10 Zegeye, Habtu
9 Aragón Artacho, Francisco Javier
9 Bento, Glaydston de Carvalho
9 Combettes, Patrick L.
9 Fang, Changjie
9 Han, Bo
9 Hilout, Saïd
9 Huang, Ting-Zhu
...and 2,529 more Authors
all top 5

Cited in 304 Serials

198 Journal of Optimization Theory and Applications
141 SIAM Journal on Optimization
136 Computational Optimization and Applications
124 Optimization
100 Mathematical Programming. Series A. Series B
98 Journal of Global Optimization
77 Numerical Algorithms
73 Journal of Computational and Applied Mathematics
60 Applied Mathematics and Computation
55 Set-Valued and Variational Analysis
48 Optimization Letters
46 Fixed Point Theory and Applications
44 Journal of Mathematical Analysis and Applications
43 Journal of Scientific Computing
42 Computational and Applied Mathematics
40 Optimization Methods & Software
39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Numerical Functional Analysis and Optimization
34 Journal of Inequalities and Applications
32 SIAM Journal on Imaging Sciences
27 Journal of Applied Mathematics and Computing
26 Inverse Problems
25 European Journal of Operational Research
24 Computers & Mathematics with Applications
23 Operations Research Letters
21 Journal of Industrial and Management Optimization
20 Abstract and Applied Analysis
19 International Journal of Computer Mathematics
18 Applied Numerical Mathematics
18 Journal of Nonlinear and Variational Analysis
17 Applicable Analysis
17 Thai Journal of Mathematics
16 Journal of Mathematical Imaging and Vision
16 Journal of Fixed Point Theory and Applications
15 Mathematics of Operations Research
15 Optimization and Engineering
15 Journal of the Operations Research Society of China
14 Journal of Convex Analysis
13 Applied Mathematics and Optimization
12 Mathematical Problems in Engineering
11 Annals of Operations Research
10 Journal of Complexity
10 Set-Valued Analysis
10 Advances in Computational Mathematics
10 Foundations of Computational Mathematics
10 Mathematical Programming Computation
9 Demonstratio Mathematica
9 Vietnam Journal of Mathematics
9 RAIRO. Operations Research
8 Computer Physics Communications
8 Journal of Mathematical Physics
8 Proceedings of the American Mathematical Society
8 Results in Mathematics
8 Nonlinear Functional Analysis and Applications
7 Calcolo
7 Journal of Functional Analysis
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Inverse Problems and Imaging
6 Acta Mathematica Vietnamica
6 SIAM Journal on Control and Optimization
6 Asia-Pacific Journal of Operational Research
6 Applied Mathematics Letters
6 Applied and Computational Harmonic Analysis
6 Mathematical Methods of Operations Research
6 Communications in Nonlinear Science and Numerical Simulation
6 Journal of Applied Mathematics
6 Journal of Machine Learning Research (JMLR)
6 Numerical Algebra, Control and Optimization
6 Journal of Function Spaces
5 International Journal of Modern Physics A
5 Bulletin of the Australian Mathematical Society
5 Journal of Differential Equations
5 Acta Applicandae Mathematicae
5 Computers & Operations Research
5 Mathematical and Computer Modelling
5 Applied Mathematical Modelling
5 SIAM Journal on Scientific Computing
5 Networks and Spatial Economics
5 Nonlinear Analysis. Hybrid Systems
5 Journal of Nonlinear Science and Applications
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Afrika Matematika
5 Arabian Journal of Mathematics
5 EURO Journal on Computational Optimization
4 Mathematics of Computation
4 Information Sciences
4 Journal of Approximation Theory
4 Mathematics and Computers in Simulation
4 Bulletin of the Iranian Mathematical Society
4 Filomat
4 Top
4 Positivity
4 Science China. Mathematics
4 SIAM Journal on Mathematics of Data Science
3 Journal of the Franklin Institute
3 Mathematical Methods in the Applied Sciences
3 Studia Mathematica
3 Journal of Economic Theory
3 Numerische Mathematik
...and 204 more Serials
all top 5

Cited in 54 Fields

1,595 Operations research, mathematical programming (90-XX)
1,073 Numerical analysis (65-XX)
784 Operator theory (47-XX)
710 Calculus of variations and optimal control; optimization (49-XX)
156 Computer science (68-XX)
105 Functional analysis (46-XX)
104 Information and communication theory, circuits (94-XX)
57 Global analysis, analysis on manifolds (58-XX)
53 Linear and multilinear algebra; matrix theory (15-XX)
53 Ordinary differential equations (34-XX)
52 Harmonic analysis on Euclidean spaces (42-XX)
52 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
46 Real functions (26-XX)
41 Statistics (62-XX)
39 Dynamical systems and ergodic theory (37-XX)
34 Convex and discrete geometry (52-XX)
30 Partial differential equations (35-XX)
28 Systems theory; control (93-XX)
23 Quantum theory (81-XX)
18 Differential geometry (53-XX)
16 Mechanics of deformable solids (74-XX)
15 Approximations and expansions (41-XX)
14 Number theory (11-XX)
14 General topology (54-XX)
14 Probability theory and stochastic processes (60-XX)
12 Biology and other natural sciences (92-XX)
11 Difference and functional equations (39-XX)
6 Mathematical logic and foundations (03-XX)
6 Mechanics of particles and systems (70-XX)
5 Algebraic geometry (14-XX)
5 Topological groups, Lie groups (22-XX)
5 Integral equations (45-XX)
5 Optics, electromagnetic theory (78-XX)
5 Relativity and gravitational theory (83-XX)
4 Combinatorics (05-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Fluid mechanics (76-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Functions of a complex variable (30-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Commutative algebra (13-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year